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Testing the common risk difference of proportions for stratified uni‐ and bilateral correlated data

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  • Zhiming Li
  • Changxing Ma
  • Keyi Mou

Abstract

In medical clinical studies, uni‐ and bilateral data naturally occurs if each patient contributes either one or both of paired organ measurements in a stratified design. This paper mainly proposes a common test of risk differences between proportions for stratified uni‐ and bilateral correlated data. Likelihood ratio, score, and Wald‐type test statistics are constructed using global, unconstrained, and constrained maximum likelihood estimations of parameters. Simulation studies are conducted to evaluate the performance of these test procedures in terms of type I error rates and powers. Empirical results show that the likelihood ratio test is more robust and powerful than other statistics. A real example is used to illustrate the proposed methods.

Suggested Citation

  • Zhiming Li & Changxing Ma & Keyi Mou, 2023. "Testing the common risk difference of proportions for stratified uni‐ and bilateral correlated data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(3), pages 340-364, August.
    • Handle: RePEc:bla:stanee:v:77:y:2023:i:3:p:340-364
    DOI: 10.1111/stan.12288
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    References listed on IDEAS

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    1. Shi-Fang Qiu & Li-Xuan Guo & G. Y. Zou & Dan Yu, 2019. "Tests for homogeneity of risk differences in stratified design with correlated bilateral data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(14), pages 2491-2513, October.
    2. Jun-mo Nam, 2003. "Homogeneity Score Test for the Intraclass Version of the Kappa Statistics and Sample-Size Determination in Multiple or Stratified Studies," Biometrics, The International Biometric Society, vol. 59(4), pages 1027-1035, December.
    3. Lui, Kung-Jong & Chang, Kuang-Chao, 2008. "Testing homogeneity of risk difference in stratified randomized trials with noncompliance," Computational Statistics & Data Analysis, Elsevier, vol. 53(1), pages 209-221, September.
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